Question

Which polynomials are in standard form?

x2y3 + y + 3xy2

– 5a3 + 12a2b – 15ab2 + b3

4xy + 2x2y2 + xy3

7x4 + 4x3y – 3x2y2 – y4

14b3 + ab3 – 6ab + 8ab2

3a4 + 4a3b – 6a2b2 – 4ab3 – b4

Answer 1

The Answers Are B. D. and F.

Explanation:

Because watermelons are bigger than mice. :)

Answer 2

Option 2,4,6 are correct.

Explanation:

To find : Which polynomials are in standard form?

Solution :

A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd and so on.

Now we check all,

1)
`x^2y^3 + y + 3xy^2`

As y degree is 1 so it goes to last.

No, it is not standard form.

2)
`-5a^3 + 12a^2b-15ab^2+b^3`

Yes, it is standard form as all of them degree is 3.

3)
`4xy+2x^2y^2+xy^3`

As first term degree is 2 and last two term degree is 4 so first term goes to last.

No, it is not standard form.

4)
`7x^4 + 4x^3y-3x^2y^2- y^4`

Yes, it is standard form as all of them degree is 4.

5)
`14b^3 + ab^3 -6ab + 8ab^2`

As third term degree is 2 and last term degree is 3 so third term goes to last.

No, it is not standard form.

6)
`3a^4 + 4a^3b-6a^2b^2-4ab^3-b^4`

Yes, it is standard form as all of them degree is 4.

Therefore, option 2,4,6 are correct.